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Finding the Third Proportional to 77,788 and 169,832

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Solution

The third proportional to 77,788 and 169,832 is: 370,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788 : 169,832 = 169,832 : x
  2. Step 2: Convert to fraction form
    77,788/169,832 = 169,832/x
  3. Step 3: Cross multiply
    77,788x = 169,832 × 169,832
  4. Step 4: Simplify right side
    77,788x = 28,842,908,224
  5. Step 5: Solve for x
    x = 28,842,908,224/77,788
  6. Step 6: Final answer
    x = 370,788.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.